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Finding the Fourth Proportional to 4,217.64, 5,820.34 and 2,354.64

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Solution

The fourth proportional to 4,217.64, 5,820.34 and 2,354.64 is: 3,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.64 : 5,820.34 = 2,354.64 : x
  2. Step 2: Convert to fraction form
    4,217.64/5,820.34 = 2,354.64/x
  3. Step 3: Cross multiply
    4,217.64x = 5,820.34 × 2,354.64
  4. Step 4: Simplify right side
    4,217.64x = 13,704,805.38
  5. Step 5: Solve for x
    x = 13,704,805.38/4,217.64
  6. Step 6: Final answer
    x = 3,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.